Search a number
-
+
22626120 = 23351161281
BaseRepresentation
bin101011001001…
…1111101001000
31120120112012110
41112103331020
521243013440
62124542320
7363214236
oct126237510
946515173
1022626120
1111854380
1276b19a0
1348c284a
14300d956
151ebe080
hex1593f48

22626120 has 128 divisors (see below), whose sum is σ = 75530880. Its totient is φ = 5376000.

The previous prime is 22626091. The next prime is 22626143. The reversal of 22626120 is 2162622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80380 + ... + 80660.

It is an arithmetic number, because the mean of its divisors is an integer number (590085).

Almost surely, 222626120 is an apocalyptic number.

22626120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22626120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37765440).

22626120 is an abundant number, since it is smaller than the sum of its proper divisors (52904760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22626120 is a wasteful number, since it uses less digits than its factorization.

22626120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22626120 is about 4756.6921279393. The cubic root of 22626120 is about 282.8373082132.

Adding to 22626120 its reverse (2162622), we get a palindrome (24788742).

The spelling of 22626120 in words is "twenty-two million, six hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 281 305 330 366 440 488 562 610 660 671 732 843 915 1124 1220 1320 1342 1405 1464 1686 1830 2013 2248 2440 2684 2810 3091 3355 3372 3660 4026 4215 5368 5620 6182 6710 6744 7320 8052 8430 9273 10065 11240 12364 13420 15455 16104 16860 17141 18546 20130 24728 26840 30910 33720 34282 37092 40260 46365 51423 61820 68564 74184 80520 85705 92730 102846 123640 137128 171410 185460 188551 205692 257115 342820 370920 377102 411384 514230 565653 685640 754204 942755 1028460 1131306 1508408 1885510 2056920 2262612 2828265 3771020 4525224 5656530 7542040 11313060 22626120